/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files


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MAYBE

DP problem for innermost termination.
P =
  f6#(x1, x2, x3, x4) -> f5#(x1, x2, x3, x4) 
  f5#(I0, I1, I2, I3) -> f2#(I0, I1, I0, 1) 
  f2#(I4, I5, I6, I7) -> f3#(I4, I5, I6, I7) 
  f3#(I8, I9, I10, I11) -> f1#(I8, rnd2, I10, I11) [rnd2 = rnd2 /\ 2 + I11 <= I10]
  f1#(I16, I17, I18, I19) -> f2#(I16, I17, I17, I19) 
  f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, I21) 
R = 
  f6(x1, x2, x3, x4) -> f5(x1, x2, x3, x4) 
  f5(I0, I1, I2, I3) -> f2(I0, I1, I0, 1) 
  f2(I4, I5, I6, I7) -> f3(I4, I5, I6, I7) 
  f3(I8, I9, I10, I11) -> f1(I8, rnd2, I10, I11) [rnd2 = rnd2 /\ 2 + I11 <= I10]
  f3(I12, I13, I14, I15) -> f4(I12, I13, I14, I15) [I14 <= 1 + I15]
  f1(I16, I17, I18, I19) -> f2(I16, I17, I17, I19) 
  f1(I20, I21, I22, I23) -> f2(I20, I21, I22, I21) 

The dependency graph for this problem is:
  0 -> 1
  1 -> 2
  2 -> 3
  3 -> 4, 5
  4 -> 2
  5 -> 2
Where:
  0) f6#(x1, x2, x3, x4) -> f5#(x1, x2, x3, x4) 
  1) f5#(I0, I1, I2, I3) -> f2#(I0, I1, I0, 1) 
  2) f2#(I4, I5, I6, I7) -> f3#(I4, I5, I6, I7) 
  3) f3#(I8, I9, I10, I11) -> f1#(I8, rnd2, I10, I11) [rnd2 = rnd2 /\ 2 + I11 <= I10]
  4) f1#(I16, I17, I18, I19) -> f2#(I16, I17, I17, I19) 
  5) f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, I21) 

We have the following SCCs.
  { 2, 3, 4, 5 }

DP problem for innermost termination.
P =
  f2#(I4, I5, I6, I7) -> f3#(I4, I5, I6, I7) 
  f3#(I8, I9, I10, I11) -> f1#(I8, rnd2, I10, I11) [rnd2 = rnd2 /\ 2 + I11 <= I10]
  f1#(I16, I17, I18, I19) -> f2#(I16, I17, I17, I19) 
  f1#(I20, I21, I22, I23) -> f2#(I20, I21, I22, I21) 
R = 
  f6(x1, x2, x3, x4) -> f5(x1, x2, x3, x4) 
  f5(I0, I1, I2, I3) -> f2(I0, I1, I0, 1) 
  f2(I4, I5, I6, I7) -> f3(I4, I5, I6, I7) 
  f3(I8, I9, I10, I11) -> f1(I8, rnd2, I10, I11) [rnd2 = rnd2 /\ 2 + I11 <= I10]
  f3(I12, I13, I14, I15) -> f4(I12, I13, I14, I15) [I14 <= 1 + I15]
  f1(I16, I17, I18, I19) -> f2(I16, I17, I17, I19) 
  f1(I20, I21, I22, I23) -> f2(I20, I21, I22, I21)